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Sagot :
Let's break down the expression step by step:
1. Identify the square root:
We start by calculating the square root of 16. The square root of a number [tex]\(x\)[/tex] is a value that, when multiplied by itself, gives [tex]\(x\)[/tex]. Therefore, we need to find a number which, when squared, will yield 16.
[tex]\[ \sqrt{16} = 4 \][/tex]
2. Square the result:
Now, we take the result from the first step and square it. Squaring a number means multiplying the number by itself.
[tex]\[ 4^2 = 4 \times 4 = 16 \][/tex]
So, when we simplify the expression [tex]\((\sqrt{16})^2\)[/tex], it simplifies to 16.
The final answer is:
[tex]\[ (\sqrt{16})^2 = 16 \][/tex]
1. Identify the square root:
We start by calculating the square root of 16. The square root of a number [tex]\(x\)[/tex] is a value that, when multiplied by itself, gives [tex]\(x\)[/tex]. Therefore, we need to find a number which, when squared, will yield 16.
[tex]\[ \sqrt{16} = 4 \][/tex]
2. Square the result:
Now, we take the result from the first step and square it. Squaring a number means multiplying the number by itself.
[tex]\[ 4^2 = 4 \times 4 = 16 \][/tex]
So, when we simplify the expression [tex]\((\sqrt{16})^2\)[/tex], it simplifies to 16.
The final answer is:
[tex]\[ (\sqrt{16})^2 = 16 \][/tex]
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